Semidefinite Programming Algorithm for Distributed Stability Analysis
Anders Hansson, Linköping University
Abstract:
We investigate stability of uncertain large-scale interconnected systems using $mu$-analysis. The interconnections are few and the graph that describes the interconnections is chordal. This means that the system matrix relating input to output signals has a chordal sparsity pattern.
The $\mu$-analysis problem can be formulated as a semidefinite programming (SDP) problem involving the system matrix. We will present results on how this SDP problem can be solved efficiently in a distributed fashion.